The Neron-Tate pairing and elliptic K3 surfaces

2017/08/20 by Arthur Baragar, Baragar, Arthur
Mathematics · #14J27 #14J28 #14J50 #Algebraic Geometry (math.AG) #FOS: Mathematics #math.AG #msc:14J27 #msc:14J28 #msc:14J50

paper · pdf · doi:10.48550/arxiv.1708.05998

arxiv created 2017/08/20 · arxiv updated 2017/08/22

Abstract

In this paper, we demonstrate a connection between the group structure and Neron-Tate pairing on elliptic curves in an elliptic fibration with section on a K3 surface, and the structure of the ample cone for the K3 surface. Part of the result can be thought of as a case of the specialization theorem.

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